15x-18=4(x^2)-4x-48

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Solution for 15x-18=4(x^2)-4x-48 equation: 


Simplifying
15x + -18 = 4(x2) + -4x + -48

Reorder the terms:
-18 + 15x = 4(x2) + -4x + -48

Reorder the terms:
-18 + 15x = -48 + -4x + 4x2

Solving
-18 + 15x = -48 + -4x + 4x2

Solving for variable 'x'.

Reorder the terms:
-18 + 48 + 15x + 4x + -4x2 = -48 + -4x + 4x2 + 48 + 4x + -4x2

Combine like terms: -18 + 48 = 30
30 + 15x + 4x + -4x2 = -48 + -4x + 4x2 + 48 + 4x + -4x2

Combine like terms: 15x + 4x = 19x
30 + 19x + -4x2 = -48 + -4x + 4x2 + 48 + 4x + -4x2

Reorder the terms:
30 + 19x + -4x2 = -48 + 48 + -4x + 4x + 4x2 + -4x2

Combine like terms: -48 + 48 = 0
30 + 19x + -4x2 = 0 + -4x + 4x + 4x2 + -4x2
30 + 19x + -4x2 = -4x + 4x + 4x2 + -4x2

Combine like terms: -4x + 4x = 0
30 + 19x + -4x2 = 0 + 4x2 + -4x2
30 + 19x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
30 + 19x + -4x2 = 0

Factor a trinomial.
(6 + -1x)(5 + 4x) = 0


Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

Subproblem 2
Set the factor '(5 + 4x)' equal to zero and attempt to solve:

Simplifying
5 + 4x = 0

Solving
5 + 4x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + 4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = 0 + -5
4x = 0 + -5

Combine like terms: 0 + -5 = -5
4x = -5

Divide each side by '4'.
x = -1.25

Simplifying
x = -1.25
Solution
x = {6, -1.25}

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